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| Analysis of regular n-polygon hole with radial edge cracks in magneto-electro-elastic composites |
| Received:June 17, 2021 Revised:August 24, 2021 |
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| DOI：10.7511/jslx20210617002 |
| KeyWord:piezoelectric-piezomagnetic materials crack of regular n-polygon hole complex variable function method equivalent field intensity factors energy release rate |
| Author | Institution |
| 徐燕 |
宁夏大学新华学院, 银川 |
| 杨娟 |
宁夏大学 民族预科教育学院, 银川 |
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| Abstract: |
| Based on the mechanics of magneto-electro-elastic composite materials,using Stroh-type formula and complex variable function method,the anti-plane problem of regular n-polygon holes with radial edge cracks in piezoelectric-piezomagnetic materials was investigated in this paper.By means of the Schwarz-Christoffel transformation,combined with Cauchy integral formula and retention theorem,the problem of an arbitrary regular polygon hole with a radial edge crack was solved.The analytical solutions of the field intensity factor and energy release rate at the crack tip were obtained under the magnetoelectrically impermeable boundary condition.In the absence of magnetic field,the obtained results can be reduced to the well-known results in order to verify the validity of the method.In addition,the numerical examples in special cases of n= 3,n= 4,n= 5 were provided to show the influences of hole size,crack length and applied mechanical-electric-magnetic loads on the equivalent field intensity factor and the dimensionless energy release rate.The research shows that,both the size of the regular n-polygon holes and the crack length can promote the crack growth,and the former has a more significant effect on the crack growth.Moreover,the increase in the number of n-polygon edges will retard crack propagation.Under the magnetoelectrically impermeable boundary condition,the mechanical loads always accelerate the crack propagation,the electric displacements may promote or retard the crack propagation,and the magnetic loads have little contribution to crack growth.The results are suitable for calculating the problem of an arbitrary regular polygon hole with a radial edge crack,thereby providing a new idea for the optimal design and fracture analysis of piezoelectric-piezomagnetic materials. |
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